Sinusoidal Excitation of a System With Bilinear Hysteresis

[+] Author and Article Information
T. K. Caughey

California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 27(4), 640-643 (Dec 01, 1960) (4 pages) doi:10.1115/1.3644075 History: Received August 25, 1959; Online September 16, 2011


Many physical systems exhibit hysteresis which may be adequately described by a bilinear hysteresis model. This paper considers the response of such a system to sinusoidal excitation. It is shown that the system exhibits a soft-type resonance with stable, single-valued response curves. For such a system it is shown that there exists a critical value of the excitation, above which unbounded resonance occurs.

Copyright © 1960 by ASME
Topics: Resonance
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